High School Geometry: Proofs, Theorems, And Shapes

Master Theorems, Proofs, and Problem-Solving Skills in High School Geometry

What you'll learn

Develop a solid foundation for tackling geometry in advanced studies or exams.

Apply logical reasoning to analyze and construct geometric arguments.

Solve complex geometry problems with confidence and accuracy.

Master essential Euclidean Geometry theorems and proofs.

Requirements

Basic understanding of mathematical operations and concepts. Access to a notebook, ruler, compass, and protractor for practice. Willingness to engage with logical reasoning and problem-solving. No prior knowledge of Euclidean Geometry is required—this course starts from the basics!

Description

Are you a parent, teacher, or tutor looking to empower your learners with a strong foundation in Euclidean Geometry? Or perhaps you’re an adult seeking to refresh your understanding of this fascinating area of mathematics to support others or build your own skills. This course is designed specifically for adults who want to invest in high-quality educational content for high school students. This course is intended for purchase by adults.In this comprehensive course, we’ll guide you through the essential theorems, proofs, and problem-solving strategies needed for success in Grades 10, 11, and 12 Euclidean Geometry. Our lessons are structured to provide clear explanations, step-by-step guidance, and practical examples, ensuring learners of all levels can follow along.This course is perfect for:Parents: Equip yourself to help your child excel in their geometry studies.Teachers: Use this course as a teaching aid or supplement to your lesson plans.Tutors: Enhance your teaching toolkit with expert-led instruction.Adult Learners: Build your own skills and confidence in Euclidean Geometry.By the end of this course, students will confidently solve geometry problems, understand key concepts, and apply logical reasoning to various challenges. Your investment in this course is an investment in future success!Enroll today and take the first step toward mastering Euclidean Geometry.

Overview

Section 1: Introduction

Lecture 1 Course Warm-Up Exercise

Lecture 2 Analyzing a Sketch in Order to Prove a Cyclic Quadrilateral

Lecture 3 Exercise on Proving a Similarity Theorem

Lecture 4 How to Properly Analyze a Sketch Before Looking at Any Questions

Lecture 5 Identifying Multiple Angles That Are Equal to Each Other

Lecture 6 Determining the Size of an Angle That Has Multiple Ways of Solving It

Lecture 7 Proving That Triangles Are Similar to Each Other

Lecture 8 The Train of Thought When Preparing to Answer a Question That Looks Complicated

Lecture 9 Solving an Expression That Involves Triangles That Are Similar to Each Other

Section 2: The Best Way to Learn Euclidean Geometry Is by Doing Euclidean Geometry

Lecture 10 Exercise on Proving a Proportionality Theorem

Lecture 11 Exercise After Analyzing a Sketch

Lecture 12 Exercise on Identifying Theorems Within a Sketch

Lecture 13 Highlighting the Importance of Analyzing a Sketch Properly

Lecture 14 Examining the Time Spent Analyzing a Sketch

Lecture 15 What to Do When You Get Stuck in Between a Question (Cyclic Quadrilateral)

Lecture 16 Proving That a Line Is a Tangent to a Circle Passing Through Three Points

Lecture 17 When Trigonometry Gets Mixed Up With Euclidean Geometry

Lecture 18 What to Do When the Area Rule Shows Up in Euclidean Geometry

Section 3: Proportionality and Similarity Questions Galore

Lecture 19 Analyzing a Sketch Before Diving Into Questions

Lecture 20 Getting Three Other Angles That Are Equal to X

Lecture 21 The Main Way to Show That Triangles Are Similar

Lecture 22 Giving a Number as an Answer in a Question That Has Zero Lengths or Angles Given

Lecture 23 Using a Proportionality Theorem to Answer an Exam-Style Question

Lecture 24 Free Marks From a Proportionality of Similar Triangles Question

Lecture 25 Banking Time by Properly Analyzing a Sketch

Lecture 26 Answering a Proportionality Exam-Style Question Which Has Four Triangles

Section 4: Sketches Without Circles

Lecture 27 Analyzing a Euclidean Geometry Sketch That Has No Circle

Lecture 28 Showing That a Point Is the Midpoint of a Line That’s Part of a Triangle

Lecture 29 Using a Given Ratio to Get the Length of a Side in a Triangle

Lecture 30 Getting a Value for the Ratio Between the Areas of Two Triangles

Lecture 31 Working With Ratios of Triangles and Their Areas

Lecture 32 Using the Ratios Between the Sides of Triangles to Prove Similarity

Lecture 33 Getting the Length of a Line Using a Proportionality Theorem

Lecture 34 Exercise on Proving Similarity and a Tangent to a Circle

Lecture 35 Pulling Out All the Stops in a Proportionality Theorems Question

High school students in Grades 10, 11, and 12 looking to master Euclidean Geometry for exams. Teachers and tutors seeking a comprehensive resource for teaching geometry concepts. Parents wanting to support their children's learning in geometry. Anyone interested in developing strong logical reasoning and problem-solving skills.